2 papers
math.AP2024
Improved global well-posedness for the cubic NLS on two-dimensional waveguide $\R\times\T$
Qionglei Chen, Yilin Song, Kailong Yang +2
In this article, we show that the solution to defocusing cubic nonlinear Schrödinger equation (NLS) posed on the two-dimensional waveguide \begin{align*} i\partial_tu+Δ_{\R\times\T…
math.AP2024
Global well-posedness for rough solutions of defocusing cubic NLS on three dimensional compact manifolds
Chen Qionglei, Yilin Song, Jiqiang Zheng
In this article, we investigate the global well-posedness for cubic nonlinear Schrödinger equation(NLS) posed on the three dimensional compact manifolds…